Charging of graphene by magnetic field and mechanical effect of magnetic oscillations
arXiv:1305.2527 · doi:10.1088/0953-8984/25/49/496007
Abstract
We discuss the fact that quantum capacitance of graphene-based devices leads to variation of it's charge density under changes of external magnetic field.The charge is conserved, but redistributes to substrate or other graphene sheet. We derive exact analytic expression for charge redistribution in the case of ideal graphene in strong magnetic field. When we account for impurities and temperature, the effect decreases and the formulae reduce to standard quantum capacitance expressions. The importance of quantum capacitance for potential Casimir force experiments is emphasized and an application of atomic force microscope technique for measurement of density of states is proposed.
short comment, 4 pages, eq 1 is corrected
References in corpus (9)
- The electronic properties of graphene
- Density of states and zero Landau level probed through capacitance of graphene
- Gradient of the Casimir force between Au surfaces of a sphere and a plate measured using atomic force microscope in a frequency shift technique
- Anomalously strong pinning of the filling factor nu=2 in epitaxial graphene
- Measuring the Casimir force gradient from graphene on a SiO_2 substrate
- Measurement of the gradient of the Casimir force between a nonmagnetic sphere and a magnetic plate
- Thermal Casimir effect in the interaction of graphene with dielectrics and metals
- Quantized Casimir Force
- Nonlinear magnetization of graphene